R Notebook

library(tidyverse)

Registered S3 method overwritten by 'dplyr':
  method           from
  print.rowwise_df     
Registered S3 methods overwritten by 'dbplyr':
  method         from
  print.tbl_lazy     
  print.tbl_sql      
── Attaching packages ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────── tidyverse 1.3.0 ──
✓ ggplot2 3.3.0     ✓ purrr   0.3.3
✓ tibble  3.0.0     ✓ dplyr   0.8.5
✓ tidyr   1.0.2     ✓ stringr 1.4.0
✓ readr   1.3.1     ✓ forcats 0.5.0
── Conflicts ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────── tidyverse_conflicts() ──
x dplyr::filter() masks stats::filter()
x dplyr::lag()    masks stats::lag()

library(cowplot)

********************************************************
Note: As of version 1.0.0, cowplot does not change the
  default ggplot2 theme anymore. To recover the previous
  behavior, execute:
  theme_set(theme_cowplot())
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library(lubridate)

Attaching package: ‘lubridate’

The following object is masked from ‘package:cowplot’:

    stamp

The following objects are masked from ‘package:dplyr’:

    intersect, setdiff, union

The following objects are masked from ‘package:base’:

    date, intersect, setdiff, union

library(mgcv)

Loading required package: nlme

Attaching package: ‘nlme’

The following object is masked from ‘package:dplyr’:

    collapse

This is mgcv 1.8-31. For overview type 'help("mgcv-package")'.

source("UVP_2017_library.R")

Loading required package: future

theme_set(theme_cowplot())
cb10 <- c('#a6cee3','#1f78b4','#b2df8a','#33a02c','#fb9a99','#e31a1c','#fdbf6f','#ff7f00','#cab2d6','#6a3d9a')

Particles Only

Read In Data

bes<- read_csv("dataOut/binned_EachSize.csv")

Parsed with column specification:
cols(
  .default = col_double(),
  project = col_character(),
  profile = col_character(),
  time = col_datetime(format = "")
)
See spec(...) for full column specifications.

bds <- read_csv("dataOut/binned_DepthSummary.csv")

Parsed with column specification:
cols(
  .default = col_double(),
  project = col_character(),
  profile = col_character(),
  time = col_datetime(format = "")
)
See spec(...) for full column specifications.

ues <- read_csv("dataOut/unbinned_EachSize.csv")

Parsed with column specification:
cols(
  project = col_character(),
  profile = col_character(),
  time = col_datetime(format = ""),
  depth = col_double(),
  psd_gam = col_double(),
  vol = col_double(),
  sizeclass = col_character(),
  lb = col_double(),
  ub = col_double(),
  binsize = col_double(),
  TotalParticles = col_double(),
  nparticles = col_double(),
  n_nparticles = col_double(),
  biovolume = col_double(),
  speed = col_double(),
  flux = col_double(),
  flux_fit = col_double(),
  GamPredictTP = col_double()
)

uds <- read_csv("dataOut/unbinned_DepthSummary.csv")

Parsed with column specification:
cols(
  .default = col_double(),
  project = col_character(),
  profile = col_character(),
  time = col_datetime(format = "")
)
See spec(...) for full column specifications.

PhoticBase <- 160
OMZBase <- 850

Summary Statistics

PlotNParticles <- uds %>% 
  ggplot(aes(x = tot_nparticles, y = depth, col = profile)) +
 facet_wrap(~project) +
 geom_point(alpha = 0.3, shape = 1) +
scale_y_reverse() + scale_x_log10()

PlotNParticles

bdsAddTime <- bds %>%
  mutate(Hour = hour(time), Day = day(time))

FSG1 <- gam(tot_nparticles~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, bs = "cc"), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

FSG2 <- gam(tot_nparticles ~ s(depth, k = 3) + s(Day, k = 3), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

FSG3 <- gam(tot_nparticles ~ s(depth, k = 3), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

#FSG4 <- gam(tot_nparticles~ s(depth, k = 3)  + s(Hour, k = 4, bs = "cc"), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

summary(FSG1)

Family: gaussian 
Link function: identity 

Formula:
tot_nparticles ~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, 
    bs = "cc")

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   9.0025     0.1091   82.55   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
            edf Ref.df     F p-value  
s(depth) 1.1031  1.196 3.873  0.0583 .
s(Day)   1.5509  1.796 3.715  0.0801 .
s(Hour)  0.4267  2.000 0.281  0.2713  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.134   Deviance explained = 17.9%
GCV = 0.76575  Scale est. = 0.71367   n = 60

#summary(FSG2)
#summary(FSG3)
#summary(FSG4)

summary(FSG1)$r.sq - summary(FSG2)$r.sq

[1] 0.006778976

summary(FSG2)$r.sq - summary(FSG3)$r.sq

[1] 0.07324885

summary(FSG3)$r.sq

[1] 0.0542546

But there is between projects:

ProjGam <- gam(tot_nparticles~ s(depth, k = 3) + factor(project), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 175 & depth <=500))

summary(ProjGam)

Family: gaussian 
Link function: identity 

Formula:
tot_nparticles ~ s(depth, k = 3) + factor(project)

Parametric coefficients:
                   Estimate Std. Error t value Pr(>|t|)    
(Intercept)          8.9983     0.4445   20.24   <2e-16 ***
factor(project)P16  17.0001     1.3754   12.36   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
         edf Ref.df     F p-value  
s(depth)   1      1 3.552   0.064 .
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =    0.7   Deviance explained = 70.9%
GCV = 12.411  Scale est. = 11.855    n = 67

PlotPSDmany <- uds %>% 
  filter(project == "ETNP") %>%
  ggplot(aes(x = psd, y = depth, shape = factor(day(time)), fill = hour(time))) +
 
  #geom_path(aes(x = psd_gam)) + 
  #geom_ribbon(aes(x = psd_gam, xmin = psd_gam - 2 * psd_seg, xmax = psd_gam + 2 * psd_seg), alpha = 0.1, outline_type = "lower") +
  geom_point(alpha = .6, size = 2, stroke = 1) +
  scale_y_reverse(limits = c(1200, 0)) + scale_shape_manual(values = c(21:25)) +
  scale_fill_gradientn(breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) +
  labs(x = "Depth (m)", y = "Particle Size Distribution Slope") + 
  geom_hline(yintercept = 175, color = "darkgreen") +
  geom_hline(yintercept = 850, color = "darkblue") 

PlotParticlesmany <- uds %>% 
  filter(project == "ETNP") %>%
  ggplot(aes(x = tot_nparticles, y = depth, shape = factor(day(time)), fill = hour(time))) +
 
  #geom_path(aes(x = psd_gam)) + 
  #geom_ribbon(aes(x = psd_gam, xmin = psd_gam - 2 * psd_seg, xmax = psd_gam + 2 * psd_seg), alpha = 0.1, outline_type = "lower") +
  geom_point(alpha = .6, size = 2, stroke = 1) +
  scale_y_reverse(limits = c(1200, 0)) + scale_shape_manual(values = c(21:25)) +
  scale_fill_gradientn(breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) +
  scale_x_log10() + theme(legend.position = "none") +
  labs(x = "Depth (m)", y = "Particles / L") + 
  geom_hline(yintercept = 175, color = "darkgreen") +
  geom_hline(yintercept = 850, color = "darkblue") 

# PlotFluxmany <- uds %>% 
#   filter(project == "ETNP") %>%
#   ggplot(aes(x = tot_flux_fit, y = depth, shape = factor(day(time)), fill = hour(time))) +
#  
#   #geom_path(aes(x = psd_gam)) + 
#   #geom_ribbon(aes(x = psd_gam, xmin = psd_gam - 2 * psd_seg, xmax = psd_gam + 2 * psd_seg), alpha = 0.1, outline_type = "lower") +
#   geom_point(alpha = .6, size = 2, stroke = 1) +
#   scale_y_reverse() + scale_shape_manual(values = c(21:25)) +
#   scale_fill_gradientn(breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) +
#   scale_x_log10() + theme(legend.position = "none")



plot_grid(
  PlotParticlesmany,
  PlotPSDmany,
  rel_widths = c(2, 3)
  )

Removed 266 rows containing missing values (geom_point).Removed 266 rows containing missing values (geom_point).

ggsave("figures/ParticlesPSDMany.png")

Saving 12 x 7.41 in image

ggsave("figures/ParticlesPSDMany.svg")

Saving 12 x 7.41 in image

bdsAddTime <- bds %>%
  mutate(Hour = hour(time), Day = day(time))

FSG1 <- gam(psd~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, bs = "cc"), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

FSG2 <- gam(psd ~ s(depth, k = 3) + s(Day, k = 3), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

FSG3 <- gam(psd ~ s(depth, k = 3), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

FSG4 <- gam(psd~ s(depth, k = 3)  + s(Hour, k = 4, bs = "cc"), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

summary(FSG1)

Family: gaussian 
Link function: identity 

Formula:
psd ~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, bs = "cc")

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -3.96083    0.01975  -200.6   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df      F  p-value    
s(depth) 1.719  1.921 56.605 3.83e-15 ***
s(Day)   1.000  1.000  1.278   0.2631    
s(Hour)  1.547  2.000  2.763   0.0347 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.639   Deviance explained = 66.5%
GCV = 0.025652  Scale est. = 0.023401  n = 60

#summary(FSG2)
#summary(FSG3)
summary(FSG4)

Family: gaussian 
Link function: identity 

Formula:
psd ~ s(depth, k = 3) + s(Hour, k = 4, bs = "cc")

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -3.96083    0.01978  -200.3   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df      F  p-value    
s(depth) 1.721  1.922 56.019 4.39e-15 ***
s(Hour)  1.609  2.000  3.023   0.0294 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.638   Deviance explained = 65.9%
GCV = 0.025297  Scale est. = 0.023471  n = 60

summary(FSG1)$r.sq - summary(FSG2)$r.sq

[1] 0.03439091

summary(FSG2)$r.sq - summary(FSG3)$r.sq

[1] 0.003377312

summary(FSG3)$r.sq

[1] 0.6015425

Not a significant difference in PSD with respect to time.

But there is between projects:

ProjGam <- gam(psd~ s(depth, k = 3) + factor(project), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 175 & depth <=500))

summary(ProjGam)

Family: gaussian 
Link function: identity 

Formula:
psd ~ s(depth, k = 3) + factor(project)

Parametric coefficients:
                   Estimate Std. Error  t value Pr(>|t|)    
(Intercept)        -3.96167    0.02491 -159.029   <2e-16 ***
factor(project)P16 -0.19977    0.07708   -2.592   0.0118 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df     F  p-value    
s(depth) 1.224  1.398 34.54 2.26e-08 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.437   Deviance explained = 45.6%
GCV = 0.039117  Scale est. = 0.037234  n = 67

I wonder if I can show that the profiles aren’t statistically significanlty different. Or that they are for that matter… I think in that case, I run a gam with and without a parameter for profile… And then quantify the effect size of that parameter

Or follow this Gavin Simpson Post https://fromthebottomoftheheap.net/2017/10/10/difference-splines-i/

or anova.gam {mgcv}

Calculate gams for each profile, and then run anova.gam to see if they are different…

PlotNParticlesEP <- uds %>% 
  filter(profile %in% c("stn_043", "p16n_100")) %>%
  ggplot(aes(x = tot_nparticles, y = depth, col = project, shape = project)) +
 geom_point(alpha = 0.7, size = 2, stroke = 1) +
  #geom_path(aes(x = tot_nparticles)) +
  #geom_ribbon(aes(x = psd_gam, xmin = psd_gam - 2 * psd_seg, xmax = psd_gam + 2 * psd_seg), alpha = 0.1) +
scale_y_reverse(limits = c(1000, 0)) + scale_x_log10() + scale_color_manual(values = c("gray20", "brown")) +
  labs(x = "Particles/L", y = "Depth (m)") +
  theme(legend.position = "none") +
  scale_shape_manual(values = c(1:5)) +
  geom_hline(yintercept = 175, color = "darkgreen") +
  geom_hline(yintercept = 200, color = "darkgreen") +
  geom_hline(yintercept = 850, color = "darkblue") 

PlotNParticlesEP

I removed one outlyer from p16 for visualization purposes (300 particles/l at surface)

PlotPSDEP <- uds %>% 
  filter(profile %in% c("stn_043", "p16n_100")) %>%
  ggplot(aes(x = psd, y = depth, col = project, shape = project)) +
 geom_point(alpha = 0.7, size = 2, stroke = 1) +
  geom_path(aes(x = psd_gam)) +
  geom_ribbon(aes(x = psd_gam, xmin = psd_gam - 2 * psd_seg, xmax = psd_gam + 2 * psd_seg), alpha = 0.1) +
scale_y_reverse(limits = c(1000, 0)) + scale_color_manual(values = c("gray20", "brown"))  +
  scale_shape_manual(values = c(1:5)) + labs(y = "", x = "Particle Size Distribution Slope") +
  geom_hline(yintercept = 175, color = "darkgreen") +
  geom_hline(yintercept = 200, color = "darkgreen") +
  geom_hline(yintercept = 850, color = "darkblue") 

PlotPSDEP

I may just cow these togther.

plot_grid(PlotNParticlesEP, PlotPSDEP, rel_widths = c(2,3), labels = c("A", "B"))

Removed 1211 rows containing missing values (geom_point).Removed 1211 rows containing missing values (geom_point).Removed 1211 row(s) containing missing values (geom_path).

ggsave("figures/ParticlesAndPSD_ETNPVsP16.svg")

Saving 10 x 4 in image

ggsave("figures/ParticlesAndPSD_ETNPVsP16.png")

Saving 10 x 4 in image

mainParticleComponents <- bds %>%
  filter(profile %in% c("stn_043", "p16n_100")) %>%
  select(project, profile, depth,
         tot_nparticles, small_nparticles, big_nparticles,
         tot_psd = psd, small_psd, big_psd,
         tot_flux_fit, small_flux_fit, big_flux_fit) %>%
  pivot_longer(cols = -c("project", "profile", "depth")) %>%
  separate(name, c("size", "meas")) %>%
  mutate(meas = recode(meas, nparticles = "particles/L")) %>%
  mutate(meas = factor(meas, levels = c("particles/L", "flux", "psd")))

Expected 2 pieces. Additional pieces discarded in 273 rows [7, 8, 9, 16, 17, 18, 25, 26, 27, 34, 35, 36, 43, 44, 45, 52, 53, 54, 61, 62, ...].

PlotFlx <- mainParticleComponents %>% 
  filter(meas != "psd") %>%
  ggplot(aes(y = depth, x = value, col = project, shape = project)) + facet_grid(size ~ meas, scales = "free_x") + geom_point(size = 2) + scale_y_reverse(limits = c(1000, 0)) + scale_x_log10() + theme(axis.title.x = element_blank(), legend.position = "none", strip.background.y = element_blank(), strip.text.y = element_blank(), plot.margin = unit(c(7,0,7,7), "pt")) + scale_color_manual(values = c("brown", "gray20")) + scale_shape_manual(values = c(1:5)) + theme(axis.text.x = element_text(angle = 90)) + geom_hline(yintercept = 175, color = "darkgreen")

PlotPSD <- mainParticleComponents %>% 
  filter(meas == "psd") %>%
  ggplot(aes(y = depth, x = value, col = project, shape = project)) + facet_grid(size~meas, scales = "free_x") + geom_point(size = 2) + scale_y_reverse(limits = c(1000, 0)) +
  theme(axis.title.x = element_blank(), axis.title.y = element_blank(), axis.line.y = element_blank(), axis.text.y = element_blank(), axis.ticks.y = element_blank(), plot.margin = unit(c(7,7,26.5,0), "pt")) +
  scale_color_manual(values = c("brown", "gray20")) +  scale_shape_manual(values = c(1:5)) +  theme(axis.text.x = element_text(angle = 90)) + geom_hline(yintercept = 175, color = "darkgreen")

plot_grid(PlotFlx, PlotPSD, rel_widths = c(3, 2))

Removed 246 rows containing missing values (geom_point).Removed 123 rows containing missing values (geom_point).

ggsave("figures/BigVsSmall.svg")

Saving 7.29 x 4.5 in image

ggsave("figures/BigVsSmall.png")

Saving 7.29 x 4.5 in image

Flux small and flux tot track so closely because ag > psd. since the size distribution of the flux sould be PSD + ag (psd is negative in this case). Yo ucan see the variance at the one depth where psd is flatest at the very top.

eg_dataline <- bds %>% 
  filter(profile == "stn_043", depth == 162.5)
eg_slope =  eg_dataline %>% pull(psd)
eg_icp = eg_dataline %>% pull(icp)
eg_vol = eg_dataline %>% pull(vol)

eg_datablock <- bes %>%
  filter(profile == "stn_043", depth == 162.5)


eg_lb = eg_datablock$lb
eg_binsize = eg_datablock$binsize
eg_nnp = exp(eg_icp + log(eg_lb) * eg_slope)

eg_np = eg_nnp * eg_binsize
eg_tp = eg_np * eg_vol
eg_df <- tibble(lb = eg_lb, n_nparticles = eg_nnp, nparticles = eg_np, TotalParticles = eg_tp)


EgNNP <- eg_datablock %>%
  ggplot(aes(x = lb, y = n_nparticles)) + geom_point() + scale_x_log10() + scale_y_log10() + 
  geom_path(data = eg_df) + labs(y = "Binsize & Volume Normalized \n Particles (#/L/mm)", x = "Size (mm)")

EgNP <- eg_datablock %>%
  ggplot(aes(x = lb, y = nparticles)) + geom_point() + scale_x_log10() + scale_y_log10() + 
  geom_path(data = eg_df) + labs(y = "Normalized Particles" , x = "Size (mm)")

EgTP <- eg_datablock %>%
  ggplot(aes(x = lb, y = TotalParticles)) + geom_point() + scale_x_log10() + scale_y_log10() + 
  geom_path(data = eg_df) + labs( y = "Total Particles Observed (#)", x = "Size (mm)")

plot_grid(EgNNP, EgTP, labels = c("A", "B"))

Transformation introduced infinite values in continuous y-axisTransformation introduced infinite values in continuous y-axis

ggsave("figures/ExamplePSD163m.png")

Saving 7.29 x 4.5 in image

ggsave("figures/ExamplePSD163m.svg")

Saving 7.29 x 4.5 in image

Smooth flux and um disaggregation.

bds %>% 
  ggplot(aes(y = depth, x = Flux_Smooth, col = factor(time))) + facet_wrap(~project) + geom_point() + scale_y_reverse(limits = c(1000, 0)) + scale_x_log10()

bdsAddTime <- bds %>%
  mutate(Hour = hour(time), Day = day(time))

FSG1 <- gam(Flux_Smooth~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, bs = "cc"), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

FSG2 <- gam(Flux_Smooth ~ s(depth, k = 3) + s(Day, k = 3), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

FSG3 <- gam(Flux_Smooth ~ s(depth, k = 3), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

summary(FSG1)

Family: gaussian 
Link function: identity 

Formula:
Flux_Smooth ~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, 
    bs = "cc")

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  34.7319     0.9312    37.3   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df      F  p-value    
s(depth) 1.874  1.984 12.034 0.000111 ***
s(Day)   1.828  1.969  2.774 0.089781 .  
s(Hour)  1.515  2.000  2.784 0.031360 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.333   Deviance explained = 39.2%
GCV = 58.038  Scale est. = 52.024    n = 60

summary(FSG2)

Family: gaussian 
Link function: identity 

Formula:
Flux_Smooth ~ s(depth, k = 3) + s(Day, k = 3)

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  34.7319     0.9774   35.53   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df      F  p-value    
s(depth) 1.864  1.981 10.835 0.000255 ***
s(Day)   1.737  1.931  1.586 0.243284    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.265   Deviance explained =   31%
GCV = 62.081  Scale est. = 57.32     n = 60

summary(FSG3)

Family: gaussian 
Link function: identity 

Formula:
Flux_Smooth ~ s(depth, k = 3)

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  34.7319     0.9944   34.93   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df     F  p-value    
s(depth) 1.857  1.979 10.73 0.000277 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.239   Deviance explained = 26.3%
GCV = 62.291  Scale est. = 59.325    n = 60

summary(FSG1)$r.sq - summary(FSG2)$r.sq

[1] 0.06791706

summary(FSG2)$r.sq - summary(FSG3)$r.sq

[1] 0.02571191

summary(FSG3)$r.sq

[1] 0.2392424

bds %>% filter(project == "ETNP") %>% select(profile, depth, Flux_Smooth) %>% pivot_wider(names_from = profile, values_from = Flux_Smooth)

Something is off. All of the flux profiles are identical. Skip this

cb10 <- c('#a6cee3','#1f78b4','#b2df8a','#33a02c','#fb9a99','#e31a1c','#fdbf6f','#ff7f00','#cab2d6','#6a3d9a')
plt1 <- bds %>% #filter(DFP > 1) %>% #filter(profile %in% c("stn_043", "p16n_100")) %>%
  ggplot(aes(y = depth, x = DFP, col = factor(time), shape = factor(time))) + facet_wrap(~project) + geom_point() + scale_y_reverse(limits = c(1000, 0)) + xlim(c(0.5, 1.5))+ geom_vline(xintercept = 1) +
   scale_color_manual(values = c(rep("black", 5), rep("blue", 5))) + scale_shape_manual(values = rep(1:5, 2))

plotly::ggplotly(plt1)

Registered S3 method overwritten by 'data.table':
  method           from
  print.data.table     
Registered S3 methods overwritten by 'htmltools':
  method               from         
  print.html           tools:rstudio
  print.shiny.tag      tools:rstudio
  print.shiny.tag.list tools:rstudio
Registered S3 method overwritten by 'htmlwidgets':
  method           from         
  print.htmlwidget tools:rstudio

What the heck is going on with DFP here. Why is it usually > 1 shouldn’t it be less than 1 when flux is decreasing? This very deep increasing flux seems improbable to me. Lets check the smooths. Or only go to 1000m.

, legend.background = element_blank(), legend.box.background = element_rect()

scientific_10 <- function(x) {parse(text=gsub("e\\+*", " %*% 10^", scales::scientific_format()(x))) }
#https://stackoverflow.com/questions/10762287/how-can-i-format-axis-labels-with-exponents-with-ggplot2-and-scales
#jacob_magnitude <- function(x){expression(10^round(log10(x)))}

cb10 <- c('#a6cee3','#1f78b4','#b2df8a','#33a02c','#fb9a99','#e31a1c','#fdbf6f','#ff7f00','#cab2d6','#6a3d9a')
pltFlx <- bds %>% filter(project == "ETNP") %>% #filter(DFP > 1) %>% #filter(profile %in% c("stn_043", "p16n_100")) %>%
  ggplot(aes(y = depth, x = Flux_Smooth, shape = factor(day(time)), fill = hour(time), group = factor(time)))  + geom_point(size = 3, stroke = 1)+
  geom_path() +
  scale_y_reverse(limits = c(1000, 0))+
  scale_x_log10(label = scientific_10) +
   scale_color_gradient2(low = "darkgreen", mid = "gray80", high = "purple", midpoint = 10) + scale_shape_manual(name = "Day of Month", values = rep(21:25, 2)) + 
  scale_fill_gradientn(name = "Hour of Day", breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) +
  
labs(x = bquote(Smoothed~Flux~(µmol~C/m^2/d)), y = "Depth (m)") +
  geom_rect(data = data.frame(project = "ETNP"), aes(xmin = 20, xmax = 180, ymin = 75, ymax = 500), colour = "red", fill = NA, inherit.aes = FALSE) +
  theme(axis.text.x = element_text(angle = 90, vjust = .3), legend.spacing = unit(.1, "cm"))



pltFlxNoLegend <- pltFlx + theme(legend.position = "none")
pltFlxLegend <- get_legend(pltFlx)

Removed 14 rows containing missing values (geom_point).Removed 14 row(s) containing missing values (geom_path).

pltFlx

#plotly::ggplotly(plt1)

cb10 <- c('#a6cee3','#1f78b4','#b2df8a','#33a02c','#fb9a99','#e31a1c','#fdbf6f','#ff7f00','#cab2d6','#6a3d9a')
pltFlxZoom <- bds %>% filter(project == "ETNP" & depth <= 500 & depth >= 75) %>% #filter(profile %in% c("stn_043", "p16n_100")) %>%
  ggplot(aes(y = depth, x = Flux_Smooth, shape = factor(day(time)), fill = hour(time), group = factor(time))) + geom_point(size = 3, stroke = 1)+
  geom_path() +
  scale_y_reverse()+
  #scale_x_log10() +
  scale_x_log10(breaks = c(seq(from = 20, to = 50, by = 10), seq(from = 60, to = 180, by = 20)), limits = c(20, 180)) +
   scale_color_gradient2(low = "darkgreen", mid = "gray80", high = "purple", midpoint = 10) + scale_shape_manual(values = rep(21:25, 2)) + 
  scale_fill_gradientn(breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) +
  theme(axis.text.x = element_text(angle = 90)) +
labs(x = "Smoothed Flux", y = "Depth") + theme(legend.position = "none")

pltFlxZoom

#plotly::ggplotly(plt1)

cb10 <- c('#a6cee3','#1f78b4','#b2df8a','#33a02c','#fb9a99','#e31a1c','#fdbf6f','#ff7f00','#cab2d6','#6a3d9a')
pltDelta3 <- bds %>% filter(project == "ETNP") %>% #filter(DFP > 1) %>% #filter(profile %in% c("stn_043", "p16n_100")) %>%
  ggplot(aes(y = depth, x = pracma::nthroot(DF/DZ, 5), shape = factor(day(time)), fill = hour(time), group = factor(time)))  + geom_point(size = 3, stroke = 1)+
  geom_path() +
  scale_y_reverse(limits = c(1000, 0))+
  scale_x_continuous(limits = c(-2.1, .6), breaks = seq(from = -2, to = .75, by = 0.5)) +
  #scale_x_log10() +
   scale_color_gradient2(low = "darkgreen", mid = "gray80", high = "purple", midpoint = 10) + scale_shape_manual(name = "Day of Month", values = rep(21:25, 2)) + 
  scale_fill_gradientn(name = "Hour", breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) +
  geom_vline(xintercept = 0) +
  labs(x = bquote((DF/DZ)^{1/5}~(µmolC/m^3/d)^{1/5}), y = "Depth (m)") + theme(legend.pos = "none")
  #labs(x = "(DF/DZ) ^ 1/5 (µmol C/m^3/d) ^ 1/5")

pltDelta3

#plotly::ggplotly(plt1pos)

# #plot_grid(pltFlxNoLegend, pltFlxZoom, pltDelta3, pltFlxLegend)
# 
# pltFlxLegend <- get_legend(pltFlx + theme(legend.box.margin = margin(0, 0, 40, 10)))
# 
# pgTop <- plot_grid(pltFlxNoLegend, pltFlxZoom + theme(plot.margin = unit(c(1, 0, 3, 0), units = "cm")), rel_widths = c(2, 1), labels = c("A", "B"))
# pgBottom <- plot_grid(pltDelta3, pltFlxLegend , rel_widths = c(3, 1), labels = c("C", ""), label_size = 14)
# pgBoth <- plot_grid(pgTop, pgBottom, ncol = 1)
# 
# pgBoth
# 
# ggsave("figures/FluxDeepDive.png")
# ggsave("figures/FluxDeepDive.svg")

Within panel drawing

pgTop <- ggdraw(pltFlxNoLegend 
       ) +
  draw_plot(pltFlxZoom, .4, .25, .55, .60) +
  draw_plot_label(
    c("","B"),
    c(.05, 0.55),
    c(1, 0.85),
    size = 16
  )

Removed 14 rows containing missing values (geom_point).Removed 14 row(s) containing missing values (geom_path).

pgTop

pgBottom <- plot_grid(pltDelta3, pltFlxLegend , rel_widths = c(3, 1), labels = c(“C”, ""), label_size = 14)

I don’t know whats going on below here

pgBottom <- pltDelta3  + geom_rect(aes(xmin = -2, xmax = -1.15, ymin = 170, ymax = 1000), colour = "gray50", fill = NA, inherit.aes = FALSE) + draw_plot(pltFlxLegend , -1.9, -575, .7)
pgBoth <- plot_grid(pgTop + theme(plot.margin = unit(c(0, 0, 0, 0), units = "cm")),
                    pgBottom + theme(plot.margin = unit(c(0, 0, 0, 0), units = "cm")),
                    ncol = 1, rel_heights = c(4, 4), labels = c("A", "C"), label_size = 16)

Removed 33 rows containing missing values (geom_point).Removed 33 row(s) containing missing values (geom_path).

pgBoth

ggsave("figures/FluxDeepDive.png")

Saving 5 x 9 in image

ggsave("figures/FluxDeepDive.svg")

Saving 5 x 9 in image

# #plot_grid(pltFlxNoLegend, pltFlxZoom, pltDelta3, pltFlxLegend)
# 
# pltFlxLegend <- get_legend(pltFlx + theme(legend.box.margin = margin(0, 0, 40, 10)))
# 
# pgTop <- plot_grid(pltFlxNoLegend + ylim(c(1000, 0)), pltFlxZoom + theme(plot.margin = unit(c(1, 0, 3, 0), units = "cm")), rel_widths = c(2, 1), labels = c("A", "B"))
# pgBottom <- plot_grid(pltDelta3 + ylim(c(1000, 0)), pltFlxLegend , rel_widths = c(3, 1), labels = c("C", ""))
# pgBoth <- plot_grid(pgTop, pgBottom, ncol = 1)
# 
# pgBoth
# 
# #ggsave("figures/FluxShallowDive.png")
# #ggsave("figures/FluxShallowDive.svg")

Test for day to day and hourly variability in delta flux

bdsAddTime <- bds %>% 
  mutate(Hour = hour(time), Day = day(time))

DFG1 <- gam(pracma::nthroot(DF/DZ, 5)~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, bs = "cc"), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 250 & depth <=500 & project == "ETNP"))

DFG2 <- gam(pracma::nthroot(DF/DZ, 5) ~ s(depth, k = 3) + s(Day, k = 3), data = bdsAddTime %>% filter(depth >= 250 & depth <=500 & project == "ETNP"))

DFG3 <- gam(pracma::nthroot(DF/DZ, 5) ~ s(depth, k = 3), data = bdsAddTime %>% filter(depth >= 250 & depth <=500 & project == "ETNP"))

summary(DFG1)

Family: gaussian 
Link function: identity 

Formula:
pracma::nthroot(DF/DZ, 5) ~ s(depth, k = 3) + s(Day, k = 3) + 
    s(Hour, k = 4, bs = "cc")

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept) -0.18385    0.05697  -3.227  0.00267 **
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df     F p-value   
s(depth) 1.716  1.919 4.652 0.03562 * 
s(Day)   1.931  1.995 6.788 0.00412 **
s(Hour)  1.555  2.000 3.247 0.02318 * 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.328   Deviance explained = 41.3%
GCV = 0.15991  Scale est. = 0.1363    n = 42

summary(DFG2)

Family: gaussian 
Link function: identity 

Formula:
pracma::nthroot(DF/DZ, 5) ~ s(depth, k = 3) + s(Day, k = 3)

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept) -0.18385    0.06186  -2.972  0.00514 **
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df     F p-value  
s(depth) 1.641  1.871 3.599  0.0798 .
s(Day)   1.827  1.970 3.034  0.0463 *
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.207   Deviance explained = 27.4%
GCV = 0.17984  Scale est. = 0.1607    n = 42

summary(DFG3)

Family: gaussian 
Link function: identity 

Formula:
pracma::nthroot(DF/DZ, 5) ~ s(depth, k = 3)

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept) -0.18385    0.06635  -2.771  0.00849 **
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df     F p-value
s(depth) 1.592  1.834 3.213   0.107

R-sq.(adj) =  0.0878   Deviance explained = 12.3%
GCV = 0.19707  Scale est. = 0.18491   n = 42

summary(DFG1)$r.sq - summary(DFG2)$r.sq

[1] 0.1204131

summary(DFG2)$r.sq - summary(DFG3)$r.sq

[1] 0.1193917

summary(DFG3)$r.sq

[1] 0.08782536

png(filename = “./figures/CombinedP2Info.png”, width = 10, height = 8, units = “in”, res = 200) StationInfoPlot() dev.off()

#plot.new()
FluxGamPlot <- function(){
  par(mfrow = c(2,2))
  plot(DFG1)
  mtext(expression(bold("C")), side = 3, line = 0, adj = 0, cex = 2)
  par(mfg = c(1,1))
  mtext(expression(bold("A")), side = 3, line = 0, adj = 0, cex = 2)
  par(mfg = c(1,2))
  mtext(expression(bold("B")), side = 3, line = 0, adj = 0, cex = 2)
}

FluxGamPlot()

png(filename = "./figures/FluxGamPlot.png", width = 10, height = 8, units = "in", res = 200)

FluxGamPlot()
dev.off()

png 
  2 

Check of actual data for hour

ggplot(data = bds %>% filter(depth >= 175, depth <= 500), aes(y = DF/DZ, x = hour(time), col = depth, group = depth)) + geom_point() + geom_line()

#Osps

(u mol C / m^3 / day)

bds %>% filter(project == "ETNP") %>%
  ggplot(aes(y = depth, x = pracma::nthroot(ospsDZ, 3), shape = factor(day(time)), fill = hour(time), group = factor(time))) + geom_point(size = 2) + scale_y_reverse(limits = c(1000, 0)) +
  scale_x_continuous(limits = c(-1, 1)) +
  geom_vline(xintercept = 0) +   scale_shape_manual(name = "Day of Month", values = rep(21:25, 2)) + labs(x = bquote("Observed - Modeled Small Particle Flux"~(μmol/m^3/day))) +
  scale_fill_gradientn(name = "Hour of Day", breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) + geom_hline(yintercept = 175, color = "darkgreen") + geom_hline(yintercept = 950, color = "darkblue")

#ggsave("..figures/FluxSizeShift.svg"

 ggsave("figures/FluxSizeShift.png")

Saving 6 x 4 in image

 ggsave("figures/FluxSizeShift.svg")

Saving 6 x 4 in image

bdsAddTime <- bds %>%
  mutate(Hour = hour(time), Day = day(time))

OZG1 <- gam(ospsDZ ~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, bs = "cc"), knots = list(Hour = c(0, 24)), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

OZG2 <- gam(ospsDZ ~ s(depth, k = 3) + s(Day, k = 3), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

OZG3 <- gam(ospsDZ ~ s(depth, k = 3), data = bdsAddTime %>% filter(depth >= 175 & depth <=500 & project == "ETNP"))

summary(OZG1)

Family: gaussian 
Link function: identity 

Formula:
ospsDZ ~ s(depth, k = 3) + s(Day, k = 3) + s(Hour, k = 4, bs = "cc")

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.02482    0.00230   10.79  3.4e-15 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
            edf Ref.df     F  p-value    
s(depth) 1.8860  1.987 8.131 0.000542 ***
s(Day)   1.8804  1.985 5.425 0.010335 *  
s(Hour)  0.1995  2.000 0.111 0.330239    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.315   Deviance explained = 36.1%
GCV = 0.00034609  Scale est. = 0.00031745  n = 60

summary(OZG2)

Family: gaussian 
Link function: identity 

Formula:
ospsDZ ~ s(depth, k = 3) + s(Day, k = 3)

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 0.024817   0.002305   10.77 3.49e-15 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df     F p-value    
s(depth) 1.886  1.987 8.109 0.00055 ***
s(Day)   1.880  1.986 5.336 0.01102 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.312   Deviance explained = 35.6%
GCV = 0.00034622  Scale est. = 0.00031871  n = 60

summary(OZG3)

Family: gaussian 
Link function: identity 

Formula:
ospsDZ ~ s(depth, k = 3)

Parametric coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 0.024817   0.002479   10.01 3.55e-14 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
           edf Ref.df     F  p-value    
s(depth) 1.872  1.984 7.338 0.000983 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.204   Deviance explained = 22.9%
GCV = 0.00038738  Scale est. = 0.00036884  n = 60

summary(OZG1)$r.sq - summary(OZG2)$r.sq

[1] 0.002732626

summary(OZG2)$r.sq - summary(OZG3)$r.sq

[1] 0.1082048

summary(OZG3)$r.sq

[1] 0.2038316

OSMSGamPlot <- function(){
  par(mfrow = c(1,2))
  plot(OZG2)
  mtext(expression(bold("B")), side = 3, line = 0, adj = 0, cex = 2)
  par(mfg = c(1,1))
  mtext(expression(bold("A")), side = 3, line = 0, adj = 0, cex = 2)
}

OSMSGamPlot()

png(filename = "./figures/OSMSGamPlot.png", width = 10, height = 6, units = "in", res = 200)

OSMSGamPlot()

dev.off()

png 
  2 

plot(OZG2)

bds %>% filter(project == "P16") %>%
  ggplot(aes(y = depth, x = ospsDZ)) + facet_wrap(~project) + geom_point() + scale_y_reverse(limits = c(500, 0)) + geom_vline(xintercept = 0)

Trap data

trapFlux3 <- read_csv("dataOut/fluxMS_distilled.csv")

Parsed with column specification:
cols(
  Class = col_character(),
  Depth = col_double(),
  TrapID = col_character(),
  TrapType = col_character(),
  SampleType = col_character(),
  C_flux = col_double(),
  C_flux_umol = col_double()
)

UVPFluxComb <- read_csv("dataOut/CombinedProfileFluxEst_DS.csv")

Parsed with column specification:
cols(
  depth = col_double(),
  Flux = col_double()
)

UVPFluxOE <- read_csv("dataOut/ObservedVsExpectedFlux.csv")

Parsed with column specification:
cols(
  depth = col_double(),
  tn_flux = col_double(),
  profile = col_character(),
  project = col_character(),
  time = col_character(),
  tot_flux2 = col_double()
)

trapFlux3

UVPFluxComb

fluxMS_distilled_toPlot <- trapFlux3 %>%
  mutate(SampleType = recode(SampleType, `plus.p` = "plus-particles", top = "top-collector"))

UVPFluxComb %>%
  ggplot(aes(y = depth))  + scale_y_reverse(limits = c(1000, 0)) +
  scale_x_continuous(limits = c(0, 200)) +
  geom_point(aes(y = Depth, x = C_flux_umol, fill = SampleType, shape = TrapType),
             colour = "black", stroke = 1, size = 5, data = fluxMS_distilled_toPlot) +
  geom_point(aes(x = Flux), size = 3, shape = 21, color = "white", fill = "black") +
  geom_point(aes(x = -1, y = -1, size = "UVP")) + # dummy point for the legend
scale_shape_manual(values = c(25, 22))+
  scale_size_manual(values = 1, name = "") +
  ylab("Depth (m)") + xlab("Flux µmolC/m^2/day") +
  guides(fill = guide_legend(override.aes = list(shape = 21))) +
  theme_cowplot() + 
  theme(
        legend.position = c(0.5, 0.4),
        legend.box.background = element_rect(color = "black", size = 0.5),
        legend.margin = margin(-10, 5, 10, 5)
  ) +
  geom_rect(data = data.frame(project = "ETNP"), aes(xmin = 15, xmax = 32, ymin = 45, ymax = 195), colour = "red", fill = NA, inherit.aes = FALSE)

# ggsave("figures/FittedFlux.png")
# ggsave("figures/FittedFlux.svg")

UVPFluxComb %>%
  ggplot(aes(y = depth))  + scale_y_reverse(limits = c(1000, 0)) +
  scale_x_continuous(limits = c(0, 200)) +
  geom_point(aes(y = Depth, x = C_flux_umol, fill = SampleType, shape = TrapType),
             colour = "black", stroke = 1, size = 5, data = fluxMS_distilled_toPlot) +
  geom_line(aes(x = Flux), size = 1, color = "black") +
  geom_point(aes(x = -1, y = -1, size = "UVP Estimate")) + # dummy point for the legend
  geom_point(aes(x = tot_flux2), size = 3, shape = 21, color = "white", fill = "black", data = UVPFluxOE) +
scale_shape_manual(values = c(25, 22))+
  scale_size_manual(values = 1, name = "") +
  ylab("Depth (m)") + xlab("Flux µmolC/m^2/day") +
  guides(fill = guide_legend(override.aes = list(shape = 21))) +
  theme_cowplot() + 
  theme(
        legend.position = c(0.5, 0.4),
        legend.box.background = element_rect(color = "black", size = 0.5),
        legend.margin = margin(-10, 5, 10, 5)
  ) +
  geom_rect(data = data.frame(project = "ETNP"), aes(xmin = 15, xmax = 32, ymin = 45, ymax = 195), colour = "red", fill = NA, inherit.aes = FALSE)
ggsave("figures/FittedFlux.png")

Saving 7.29 x 4.5 in image

ggsave("figures/FittedFlux.svg")

Saving 7.29 x 4.5 in image

Example particle size distribution

horizontalGamPlot <- dataGamHorizontal %>% ggplot(aes(x = resp_fit, y = depth, col = log(lb), group = lb)) + scale_y_reverse() + geom_point() + scale_x_log10(limits = c(10^-8, NA)) + scale_color_viridis_c() + geom_path() + geom_vline(xintercept = 1) + geom_vline(xintercept = 5) + geom_errorbar(aes(xmin = resp_lower, xmax = resp_upper), width = 10, alpha = 0.5)+ theme_bw()

TPPlot <- bes %>% filter(profile == "stn_043") %>% group_by(lb) %>% ggplot(aes(x = TotalParticles, y = depth, col = log(lb), group = lb)) + scale_y_reverse(limits = c(1000, 0)) + geom_point() + scale_x_log10() + scale_color_viridis_c() + geom_path() + geom_vline(xintercept = 1) + geom_vline(xintercept = 5) + labs(y = "Depth (m)", x = "TotalParticles Observed (#)")

nnpPlot <- bes %>% filter(profile == "stn_043") %>% group_by(lb) %>% ggplot(aes(x = n_nparticles, y = depth, col = log(lb), group = lb)) + scale_y_reverse(limits = c(1000, 0)) + geom_point() + scale_x_log10() + scale_color_viridis_c() + geom_path() + geom_vline(xintercept = 1) + geom_vline(xintercept = 5) + labs(y = "Depth (m)", x = "Binsize and Volume Normalized Particles (#/L/mm)")

FitPlot <- bes %>% filter(profile == "stn_043") %>% group_by(lb) %>% ggplot(aes(x = nnp_smooth, xmin = nnp_lower, xmax = nnp_upper, y = depth, col = log(lb), group = lb)) + scale_y_reverse(limits = c(1000, 0)) + geom_point() + scale_x_log10() + scale_color_viridis_c() + geom_path() + geom_vline(xintercept = 1) + geom_vline(xintercept = 5) + labs(y = "Depth (m)", x = "Smoothed - Normalized Particles (#/L/mm)") + geom_errorbar(width = 10, alpha = 0.5)

npLegend <- get_legend(FitPlot + theme(legend.box.margin = margin(0, 0, 40, 200)) + labs(col = expression(log[e](Size (mm)))))

Removed 325 rows containing missing values (geom_point).Removed 325 row(s) containing missing values (geom_path).

plot_grid(
  TPPlot + theme(legend.position = "none"),
  nnpPlot + theme(legend.position = "none"),
  npLegend ,
  FitPlot + theme(legend.position = "none")
)

Transformation introduced infinite values in continuous x-axisTransformation introduced infinite values in continuous x-axisRemoved 325 rows containing missing values (geom_point).Removed 325 row(s) containing missing values (geom_path).Transformation introduced infinite values in continuous x-axisTransformation introduced infinite values in continuous x-axisRemoved 325 rows containing missing values (geom_point).Removed 325 row(s) containing missing values (geom_path).Removed 325 rows containing missing values (geom_point).Removed 325 row(s) containing missing values (geom_path).

ggsave("figures/AllParticleSizes.svg")

Saving 10 x 6.18 in image

ggsave("figures/AllParticleSizes.png")

Saving 10 x 6.18 in image

Weber Bianchi Figs

SameGam <- gam(TotalParticles ~s(log(lb), log(depth), by = factor(time)), offset = log(vol * binsize), family = nb(),
    data = bes %>% filter(project == "ETNP"))

besE <- bes %>% filter(project == "ETNP")

lb_new <- exp(seq(from = log(0.1), to = log(2.1), by = 0.05))
ub_new <- lead(lb_new)
binsize_new <- ub_new - lb_new

lbbs <- tibble(lb = lb_new, ub = ub_new, binsize = binsize_new)

Expanded <- expand_grid(lb = exp(seq(from = log(0.1), to = log(2), by = 0.05)), depth = seq(from = 20, to = 2000, by = 20), time = as.factor(unique(besE$time))) %>% left_join(lbbs, by = "lb")

Pred <- exp(predict(SameGam, Expanded))
ToPlot <- bind_cols(Expanded, nnparticles = Pred) %>% mutate(time = as.character(time)) %>% mutate(nparticles = nnparticles * binsize)

ToPlot %>% filter(lb <= 2) %>%  ggplot(aes(x = lb, y = depth, fill = log10(nnparticles), z = log10(nnparticles))) + geom_tile() + scale_fill_viridis_c() + scale_y_reverse() + scale_x_log10()  + facet_wrap(~time) + geom_contour(color = "black")

meanBese <- ToPlot %>% filter(lb <= 2) %>% group_by(lb, depth) %>% summarize(nparticles = mean(nparticles), nnparticles = mean(nnparticles))

WBColorMap <- meanBese%>%
   ggplot(aes(x = lb, y = depth, fill = log10(nnparticles), z = log10(nnparticles))) + geom_tile() + scale_fill_viridis_c(name = "log10(number density \n (normalized))") + scale_y_reverse() + scale_x_log10() + geom_contour(color = "black") + geom_hline(yintercept = 160, color = "darkgreen") + geom_hline(yintercept = 850, color = "darkblue")
WBColorMap

Average of everything

#meanBese043 <- ToPlot %>% filter(lb <= 2, time == "2017-01-13 11:51:31")

meanBese%>%
   ggplot(aes(x = lb, y = depth, fill = log10(nnparticles), z = log10(nnparticles))) + geom_tile() + scale_fill_viridis_c() + scale_y_reverse() + scale_x_log10() + geom_contour(color = "black") + geom_hline(yintercept = 160, color = "darkgreen")

Just 043

mbGam <- meanBese %>% group_by(depth)  %>% nest() %>%
  mutate(mod = map(data, ~gam(log(nnparticles) ~ log(lb), family = gaussian(), data = .))) %>% 
  mutate(psd = map_dbl(mod, ~summary(.)$p.coeff[2]))

mbGam %>% ggplot(aes(x = psd, y = depth)) + geom_path() + scale_y_reverse() + geom_hline(yintercept = 160, color = "darkgreen") + geom_hline(yintercept =  850, color = "darkblue")

mbGam <- meanBese043 %>% group_by(depth) %>% nest() %>% mutate(mod = map(data, ~gam(log(nnparticles) ~ log(lb), family = gaussian(), data = .))) %>% mutate(psd = map_dbl(mod, ~summary(.)$p.coeff[2]))

pWBPSD <- mbGam %>% ggplot(aes(x = psd, y = depth)) + geom_path() + scale_y_reverse()  + geom_hline(yintercept = 160, color = "darkgreen") + geom_hline(yintercept =  850, color = "darkblue")
pWBPSD

Fig 5 WB

bds %>% filter(profile == “stn_043”, depth <= 2000) %>% ggplot(aes(x = psd_gam, xmin = psd_gam - psd_seg * 2, xmax = psd_gam + psd_seg * 2, y = depth)) + geom_path(size = 1) + scale_y_reverse() + geom_hline(yintercept = 175, color = “darkgreen”) + geom_hline(yintercept = 950, color = “darkblue”) + geom_ribbon(alpha = 0.2) + labs(x = “PSD slope”)

All of them

bds %>% filter(profile == "stn_043", depth <= 2000) %>% ggplot(aes(x = psd_gam, xmin = psd_gam - psd_seg * 2, xmax = psd_gam + psd_seg * 2, y = depth)) + geom_path(size = 1) + scale_y_reverse() + geom_hline(yintercept = 175, color = "darkgreen") + geom_hline(yintercept = 950, color = "darkblue") + geom_ribbon(alpha = 0.2) + labs(x = "PSD slope")

043 only

bds %>% filter(profile == "stn_043", depth <= 2000, depth > 175) %>% ggplot(aes(x = small_biovolume, y = depth)) + geom_path(size = 1) + scale_y_reverse() + geom_hline(yintercept = 175, color = "darkgreen") + geom_hline(yintercept = 950, color = "darkblue") + geom_point()

ubDf0 <- ToPlot %>% mutate(ubiomass = nparticles * lb ^ ag_global)
ubDf <- ubDf0 %>% group_by(time, depth) %>% summarize(ubiomass = sum(ubiomass)) %>% ungroup %>% group_by(depth)
photicBiomass <- ubDf %>% filter(depth <= 180, depth >= 160) %>% summarize(ubiomass = mean(ubiomass)) %>% pull(ubiomass)
ubDf <- ubDf %>% mutate(nbiomass = ubiomass/photicBiomass)

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ubDf %>% ggplot(aes(x = nbiomass, y = depth , group = time, col = time)) + geom_path() + scale_y_reverse() + scale_x_continuous(limits = c(0,1))

ubDf <- ToPlot %>% mutate(ubiomass = nparticles * lb ^ ag_global) %>% group_by(time, depth) %>% summarize(ubiomass = sum(ubiomass)) %>% ungroup %>% group_by(depth)  %>% summarise(ubiomass = mean(ubiomass))
photicBiomass <- ubDf %>% filter(depth <= 180, depth >= 160) %>% summarize(ubiomass = mean(ubiomass)) %>% pull(ubiomass)
ubDf <- ubDf %>% mutate(nbiomass = ubiomass/photicBiomass)
ubDf %>% ggplot(aes(x = nbiomass, y = depth)) + geom_path() + scale_y_reverse() + scale_x_continuous(limits = c(0,1)) + geom_hline(yintercept = 175, color = "darkgreen")

Small particles biomass

PubDf <- ToPlot %>% mutate(ubiomass = nparticles * lb ^ ag_global) %>% filter(lb < 0.5) %>% group_by(time, depth) %>% summarize(ubiomass = sum(ubiomass)) %>% ungroup %>% group_by(depth)  %>% summarise(ubiomass = mean(ubiomass))
photicBiomass <- PubDf %>% filter(depth <= 165, depth >= 155) %>% summarize(ubiomass = mean(ubiomass)) %>% pull(ubiomass)
PubDf <- PubDf %>% mutate(nbiomass = ubiomass/photicBiomass)
pWBS <- PubDf %>% ggplot(aes(x = nbiomass, y = depth)) + geom_path() + scale_y_reverse() + scale_x_continuous(limits = c(0,1.2)) + geom_hline(yintercept = 160, color = "darkgreen") + geom_vline(xintercept = 1, color = "gray50") + geom_vline(xintercept = 0, color = "gray50") + geom_hline(yintercept = 850, color = "darkblue") + labs( x = "Small particle mass (norm.)")
pWBS

LubDf <- ToPlot %>% mutate(ubiomass = nparticles * lb ^ ag_global) %>% filter(lb >= 0.5) %>% group_by(time, depth) %>% summarize(ubiomass = sum(ubiomass)) %>% ungroup %>% group_by(depth)  %>% summarise(ubiomass = mean(ubiomass))
photicBiomass <- LubDf %>% filter(depth <= 165, depth >=155) %>% summarize(ubiomass = mean(ubiomass)) %>% pull(ubiomass)
LubDf <- LubDf %>% mutate(nbiomass = ubiomass/photicBiomass)
pWBL <- LubDf %>% ggplot(aes(x = nbiomass, y = depth)) + geom_path() + scale_y_reverse() + scale_x_continuous(limits = c(0,1)) + geom_hline(yintercept = 160, color = "darkgreen") + labs( x = "Large particle mass (norm.)") + geom_vline(xintercept = 1, color = "gray50") + geom_vline(xintercept = 0, color = "gray50") + geom_hline(yintercept = 850, color = "darkblue")
pWBL

For tom and danielle

WBColorMap

pWBPSD

pWBS

pWBL

WBFig5 <- plot_grid(pWBPSD, pWBS,pWBL, nrow = 1, labels = c("B", "C", "D"))

Removed 6 row(s) containing missing values (geom_path).Removed 7 row(s) containing missing values (geom_path).

WBFig5

WBcombined <- plot_grid(WBColorMap + theme(plot.margin = unit(c(0,3,0, 3), "cm")), WBFig5, ncol = 1, labels = c("A", ""))
WBcombined

ggsave("figures/WBModelValidation.png")

Saving 8 x 6 in image

P16 Flux

scientific_10 <- function(x) {parse(text=gsub("e\\+*", " %*% 10^", scales::scientific_format()(x))) }
#https://stackoverflow.com/questions/10762287/how-can-i-format-axis-labels-with-exponents-with-ggplot2-and-scales
#jacob_magnitude <- function(x){expression(10^round(log10(x)))}

cb10 <- c('#a6cee3','#1f78b4','#b2df8a','#33a02c','#fb9a99','#e31a1c','#fdbf6f','#ff7f00','#cab2d6','#6a3d9a')
pltFlxP16 <- bds %>% filter(project == "P16") %>% #filter(DFP > 1) %>% #filter(profile %in% c("stn_043", "p16n_100")) %>%
  ggplot(aes(y = depth, x = Flux_Smooth, group = factor(time)))  + geom_point(size = 3, stroke = 1)+
  geom_path() +
  scale_y_reverse(limits = c(1000, 0))+
  scale_x_log10(limits = c(35, 150),breaks = seq(from = 20, to = 150, by = 20)) +
   scale_color_gradient2(low = "darkgreen", mid = "gray80", high = "purple", midpoint = 10) + scale_shape_manual(name = "Day of Month", values = rep(21:25, 2)) + 
  scale_fill_gradientn(name = "Hour of Day", breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) +
  
labs(x = bquote(Smoothed~Flux~(µmol~C/m^2/d)), y = "Depth (m)") +
  geom_hline(yintercept = 200, color = "darkgreen") +
  theme(axis.text.x = element_text(angle = 90, vjust = .3), legend.spacing = unit(.1, "cm"))
# 
# 
# 
# pltFlxNoLegend <- pltFlx + theme(legend.position = "none")
# pltFlxLegend <- get_legend(pltFlx)
# 
pltFlxP16

# #plotly::ggplotly(plt1)

cb10 <- c('#a6cee3','#1f78b4','#b2df8a','#33a02c','#fb9a99','#e31a1c','#fdbf6f','#ff7f00','#cab2d6','#6a3d9a')
pltDelta3P16 <- bds %>% filter(project == "P16") %>% #filter(DFP > 1) %>% #filter(profile %in% c("stn_043", "p16n_100")) %>%
  ggplot(aes(y = depth, x = pracma::nthroot(DF/DZ, 5), group = factor(time)))  + geom_point(size = 3, stroke = 1)+
  geom_path() +
  scale_y_reverse(limits = c(1000, 0))+
  scale_x_continuous(limits = c(-1, .1), breaks = seq(from = -2, to = .75, by = 0.5)) +
  #scale_x_log10() +
   scale_color_gradient2(low = "darkgreen", mid = "gray80", high = "purple", midpoint = 10) + scale_shape_manual(name = "Day of Month", values = rep(21:25, 2)) + 
  scale_fill_gradientn(name = "Hour", breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 200, color = "darkgreen")+
  labs(x = bquote((DF/DZ)^{1/5}~(µmolC/m^3/d)^{1/5}), y = "Depth (m)") + theme(legend.pos = "none")
  #labs(x = "(DF/DZ) ^ 1/5 (µmol C/m^3/d) ^ 1/5")

pltDelta3P16

#plotly::ggplotly(plt1pos)

osms_p16 <- bds %>% filter(project == "P16") %>%
  ggplot(aes(y = depth, x = pracma::nthroot(ospsDZ, 3), group = factor(time))) + geom_point(size = 3) + geom_path() + scale_y_reverse(limits = c(1000, 0)) +
  scale_x_continuous(limits = c(-1, 1)) +
  geom_vline(xintercept = 0) +   scale_shape_manual(name = "Day of Month", values = rep(21:25, 2)) + labs(x = "Observed - Modeled Small Particle Flux \n µmol/m^3/day") +
  scale_fill_gradientn(name = "Hour of Day", breaks = c(0, 6, 12, 18, 24), colors = c("black", "blue", "white", "orange", "black")) + geom_hline(yintercept = 175, color = "darkgreen") 
plotly::ggplotly(osms_p16)

#ggsave("..figures/FluxSizeShift.svg"

plot_grid(
  pltFlxP16,
  pltDelta3P16,
  osms_p16
)

Removed 28 rows containing missing values (geom_point).Removed 28 row(s) containing missing values (geom_path).Removed 32 rows containing missing values (geom_point).Removed 32 row(s) containing missing values (geom_path).Removed 29 rows containing missing values (geom_point).Removed 29 row(s) containing missing values (geom_path).

ggsave("figures/P16FluxRelate.svg")

Saving 8 x 8 in image

ggsave("figures/P16FluxRelate.png")

Saving 8 x 8 in image

Flux attenuation example

EK60

dataBinned <- read_csv("data/backscatter_table_go7.csv")

Parsed with column specification:
cols(
  frequency = col_double(),
  depth_bin = col_double(),
  time_bin = col_datetime(format = ""),
  value = col_double()
)

dataBinned_01 <- dataBinned %>%
  mutate(timeMex = with_tz(time_bin, tzone = "US/Central") )

startDay <- dataBinned_01$timeMex %>% na.omit %>% min %>% floor_date(unit = "days")
endDay <- dataBinned_01$timeMex %>% na.omit %>% max %>% ceiling_date(unit = "days")
timeBreaks <- seq(from = startDay, to = endDay, by = "12 hours")
timeLabels <- format(timeBreaks)

plotLetters <- tribble(
  ~letter, ~depth_bin, ~timeMex,
  "A", 350, as.POSIXct("2017-01-07 13:00:00"),
  "B", 200, as.POSIXct("2017-01-09 23:00:00"),
  "C", 150, as.POSIXct("2017-01-08 13:00:00"),
  "D", 625, as.POSIXct("2017-01-12 07:00:00"),
  "E", 750, as.POSIXct("2017-01-10 02:00:00")
  
)

library(shadowtext)
plot18k <- dataBinned_01 %>% filter(frequency == 18000) %>% ggplot(aes(x = timeMex, y = depth_bin, fill = value)) + geom_tile() + scale_y_reverse() + scale_fill_viridis_c(limits = c(-165, -75), oob = scales::squish) +
  scale_x_datetime(breaks = timeBreaks, date_labels = "%d::%H") + labs(x = "day::hour", y = "depth (m)", fill = "backscatter (dB)") + theme_bw() + theme(axis.text.x = element_text(angle = 90, vjust = 0.5)) + geom_hline(yintercept = 160, color = "darkgreen") +
  geom_hline(yintercept = 850, color = "darkblue") +
  geom_shadowtext(data = plotLetters, aes(x = timeMex - 12 * 60^2, y = depth_bin, label = letter),  inherit.aes = FALSE, size = 6, bg.color = "white", color = "black") +
  geom_segment(data = plotLetters, inherit.aes = FALSE, aes(x = timeMex - 9 * 60^2, xend = timeMex, y = depth_bin, yend = depth_bin), arrow = arrow(length = unit(0.03, "npc")), color = "white", size = 1.5) + 
  geom_segment(data = plotLetters, inherit.aes = FALSE, aes(x = timeMex - 9 * 60^2, xend = timeMex, y = depth_bin, yend = depth_bin), arrow = arrow(length = unit(0.03, "npc")))
plot18k

ggsave("figures/stationP2_EK60_18kOnly.png")

Saving 7.29 x 4.5 in image

plot18k + scale_y_reverse(limits = c(500, 200))

Scale for 'y' is already present. Adding another scale for 'y', which will replace the existing scale.

dataBinned_01 %>% ggplot(aes(x = timeMex, y = depth_bin, fill = value)) + geom_tile() + scale_y_reverse() + scale_fill_viridis_c(limits = c(-165, -75), oob = scales::squish) +
  scale_x_datetime(breaks = timeBreaks, date_labels = "%d::%H") + labs(x = "day::hour", y = "depth (m)", fill = "backscatter (dB)") + theme_bw() + theme(axis.text.x = element_text(angle = 90, vjust = 0.5)) +
  
  
  facet_wrap(~frequency, ncol = 1)

#ggsave("figures/stationP2_EK60_go7.svg", width = 8, height = 20)
ggsave("figures/stationP2_EK60_go7.png", width = 8, height = 20)